201314100 has 144 divisors (see below), whose sum is σ = 643083840. Its totient is φ = 48307200.

The previous prime is 201314083. The next prime is 201314111. The reversal of 201314100 is 1413102.

201314100 = T₄₀ + T₄₁ + ... + T₁₀₆₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159271 + ... + 160529.

It is an arithmetic number, because the mean of its divisors is an integer number (4465860).

Almost surely, 2^201314100 is an apocalyptic number.

201314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321541920).

201314100 is an abundant number, since it is smaller than the sum of its proper divisors (441769740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201314100 is a wasteful number, since it uses less digits than its factorization.

201314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201314100 is about 14188.5200073863. The cubic root of 201314100 is about 586.0815698711.

Adding to 201314100 its reverse (1413102), we get a palindrome (202727202).

The spelling of 201314100 in words is "two hundred one million, three hundred fourteen thousand, one hundred".